2008/06/30 by A. Khoudeir, R. Montemayor, Luis F. Urrutia
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Dimension (graph theory) #Dimensional reduction #Field (mathematics) #Gauge theory #Geometry #Homogeneous space #Massless particle #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum mechanics #Spin (aerodynamics) #Symmetry (geometry) #Tensor (intrinsic definition) #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.78.065041
published as Phys.Rev.D78:065041,2008 · 14 pages, no figures, RevTex 4. Some clarifying comments and references have been added
arxiv created 2008/09/09 · openalex publication_date 2008/09/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using the parent Lagrangian method together with a dimensional reduction from D to (D\ensuremath-1) dimensions, we construct dual theories for massive spin two fields in arbitrary dimensions in terms of a mixed symmetry tensor T_A[A1A2…A_D\ensuremath-2]. Our starting point is the well-studied massless parent action in dimension D. The resulting massive Stueckelberg-like parent actions in (D\ensuremath-1) dimensions inherit all the gauge symmetries of the original massless action and can be gauge fixed in two alternative ways, yielding the possibility of having a parent action with either a symmetric or a nonsymmetric Fierz-Pauli field eAB. Even though the dual sector in terms of the standard spin two field includes only the symmetrical part e_AB in both cases, these two possibilities yield different results in terms of the alternative dual field T_A[A1A2…A_D\ensuremath-2]. In particular, the nonsymmetric case reproduces the Freund-Curtright action as the dual to the massive spin two field action in four dimensions.